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Finding the Fourth Proportional to 198,270.36, 297,452.34 and 65,151

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Solution

The fourth proportional to 198,270.36, 297,452.34 and 65,151 is: 97,741.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,270.36 : 297,452.34 = 65,151 : x
  2. Step 2: Convert to fraction form
    198,270.36/297,452.34 = 65,151/x
  3. Step 3: Cross multiply
    198,270.36x = 297,452.34 × 65,151
  4. Step 4: Simplify right side
    198,270.36x = 19,379,317,403.34
  5. Step 5: Solve for x
    x = 19,379,317,403.34/198,270.36
  6. Step 6: Final answer
    x = 97,741.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.